M. Colarusso

collaborators

4 papers

math.RT2026

Orbits on a product of two flags and a line and the Bruhat order, II

Mark Colarusso, Sam Evens

Let $G = G L (n)$ be the $n \times n$ complex general linear group and let $\B_{n}$ be its flag variety. A Borel subgroup $B$ of $G$ acts on $\B_{n}\times \mathbb{P}^{n-1}$ diagonally w…

math.RT2025

Orbits on a product of two flags and a line and the Bruhat Order, I

Mark Colarusso, Sam Evens

Let $G = G L (n)$ be the $n \times n$ complex general linear group and let $B_{n}$ be its flag variety. The standard Borel subgroup $B$ of upper triangular matrices acts on th…

math.RT2025

$B_{n - 1}$ -orbits on the flag variety and the Bruhat graph of the symmetric group

Mark Colarusso, Sam Evens

Let $G = G_{n} = G L (n)$ be the $n \times n$ complex general linear group and embed $G_{n - 1} = G L (n - 1)$ in the top left hand corner of $G$ . The standard Borel subgroup of upper triangular…

math.RT2025

$K$ -type multiplicities in degenerate principal series via Howe duality

Mark Colarusso, William Q. Erickson, Andrew Frohmader +1

Let $K$ be one of the complex classical groups $O_{k}$ , $GL_{k}$ , or $Sp_{2 k}$ . Let $M \subseteq K$ be the block diagonal embedding ${\rm O}_{k_1} \times \cdots \time…

Orbits on a product of two flags and a line and the Bruhat order, II

Orbits on a product of two flags and a line and the Bruhat Order, I

Bn−1​-orbits on the flag variety and the Bruhat graph of the symmetric group

K-type multiplicities in degenerate principal series via Howe duality

$B_{n - 1}$ -orbits on the flag variety and the Bruhat graph of the symmetric group

$K$ -type multiplicities in degenerate principal series via Howe duality